what equation can be used to represent "six added to twice the sum of a number and four is equal to one-half of the difference of three and the number"?

Answer:

y=  -6

Step-by-step explanation:

Answer:

[tex]mSQR=1/2m~SR\\[/tex]

[tex]75=1/2m~SR[/tex]

[tex]mSR=150[/tex]

[tex]360=SR+QR+QS[/tex]

[tex]mQR=360-150-133[/tex]

[tex]mQR=77[/tex]

[tex]So, B ~ is ~ your~ answer[/tex]

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hope it helps...

have a nice day!

Answer:

see explanation

Step-by-step explanation:

(a)

The consecutive angles are supplementary, sum to 180° , then

3y + 2y - 5 = 180

5y - 5 = 180 ( add 5 to both sides )

5y = 185 ( divide both sides by 5 )

y = 37

Then ∠ A = 3y = 3 × 37 = 111

The opposite angles are congruent , then

3x + 3 = 111 ( subtract 3 from both sides )

3x = 108 ( divide both sides by 3 )

x = 36

---------------------------------------------------------------------

(b)

The diagonals bisect each other , so

x + 8 = 16 - x ( add x to both sides )

2x + 8 = 16 ( subtract 8 from both sides )

2x = 8 ( divide both sides by 2 )

x = 4

and

5y + 4 = 2y + 13 ( subtract 2y from both sides )

3y + 4 = 13 ( subtract 4 from both sides )

3y = 9 ( divide both sides by 3 )

y = 3

Answer:

The solution is (5, 3)

Step-by-step explanation:

To solve this system of linear equations, let's use elimination by addition and subtraction.  This approach is particularly easy because one equation already has +y and the other -y, summing up to zero:

4x+y=23

3x-y=12

---------------

7x   = 35

Then x must be 5.  

Substituting 5 for x in the first equation, we get

4(5) + y = 23.  Then 20 + y = 23, or y = 3.

The solution is (5, 3)

Hello,

Perimeter of a rectangle : 2 * (length + width)

Area of a rectangle : length * width

We know that the perimeter of the rectangle is equal to 10 feet and its area is equal to 6 square feet.

Let's call x the length of the rectangle and y the width of the rectangle. The pair (x ; y) verifies the following system :

2 (x + y) = 10 ⇔ x + y = 5 ⇔ x = 5 - y

x * y = 6 ⇔ (5 - y) * y = 6 ⇔ 5y - y² - 6 = 0 ⇔ y² - 5y + 6 = 0

⇔ y² - 3y - 2y + 6 = 0 ⇔ y(y - 3) - 2(y - 3) = 0 ⇔ (y - 2)(y - 3) = 0

⇔ y = 2 ou y = 3

x = 5 - y ⇔ x = 5 - 2 or x = 3 - 2 ⇔ x = 3 or y = 2

S = {(3 ; 2) ; (2 ; 3)}

The width of the rectangle is 2 or 3 feet.

:-)

Answer:

4

Step-by-step explanation:

Multiply the second equation by −2 to get −4x − 12y = −48.

Step-by-step explanation:

Given:

4x + y = 4 (1)

2x + 6y = 24 (2)

Multiply the second equation by −2 to get −4x − 12y = −48.

4x + y = 4 (1)

−4x − 12y = −48 (3)

Variable x can be eliminated by adding the equations

4x + (-4x) + y + (-12y) = 4 + (-48)

4x - 4x + y - 12y = 4 - 48

0 - 11y = -44

-11y = -44

Divide both sides by -11

y = -44/-11

= 4

Answer:

d

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

y=e^x+3

Answer:

V=129659.9491≈129659.95

Step-by-step explanation:

Answer: A, B, C

Step-by-step explanation:

AC is half of AB, so AB = 2AC

1/2 of AB will be AC, and AB

AC = CB

Answer:

Brett baseball went higher

Step-by-step explanation:

his maximum is a vertical that exceeds 80

Answer:

2x^3-2x^2+6x

Step-by-step explanation:

The area of a rectangle is

A = l*w

A = ( x^2 -x+3) * (2x)

Multiply

A = x^2 *2x -x*2x +3 *2x

A = 2x^3-2x^2+6x

Answer:

Hi, there your answer is polygon

A polygon is any 2-dimensional shape formed with straight lines. Triangles, quadrilaterals, pentagons, and hexagons are all examples of polygons. A rhombus has 4 sides.

Hope this helps:) Have a great day!

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

1/2 of 10 is 5

Answer: b

Step-by-step explanation:

there are 6 numbers on a regular dice. 3 even, 3 odd

Answer:

The answer is below

Step-by-step explanation:

Plotting the following constraints using the online geogebra graphing tool:

x + 3y ≤ 9         (1)

5x + 2y ≤ 20    (2)

x≥1 and y≥2      (3)

From the graph plot, the solution to the constraint is A(1, 2), B(1, 2.67) and C(3, 2).

We need to minimize the objective function C = 5x + 3y. Therefore:

At point A(1, 2): C = 5(1) + 3(2) = 11

At point B(1, 2.67): C = 5(1) + 3(2.67) = 13

At point C(3, 2): C = 5(3) + 3(2) = 21

Therefore the minimum value of the objective function C = 5x + 3y is at point A(1, 2) which gives a minimum value of 11.

The domain of the square root function is:

x ≥6

Remember that for any function y = f(x), we define the domain as the set of the possible inputs of the function. That is, the set of the possible values of x.

Here we have the square root function:

f(x) = √(x - 6)

Now, remember that the argument of a square root must be zero or larger, then to find the domain we need to solve:

x - 6 = 0

x = 6

Then the domain is the set of all the values equal to or larger than 6.

The domain is: x ≥6

Learn more about domain at:

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Answer:

The new blueprint's width will be 7 inches.

Explaination:

Create a proportion: 2in:7ft

Divide 12 by 2 and multiply by 7 to find the real width: 6•7=42

Divide actual width by 6 and multiply by 1 to find the new scale: (42/6) •1 = 7

Answer:

In the questions you are asked to evaluate by substituting the variables to the given number.

PLZ EXCUSE MY HANDWRITING.

Answer:

C2- 65° C3- 84°

Step-by-step explanation:

for C2:

the 2 parallel lines and the one cutting fully through form a transversal.

One of the rules for this is that co-interior angles (the 2 on the same side of the intersecting line) add to 180°.

This means that the angle at the top left (still within the triangle) should be 50° (180-121).

The other angle within the triangle (not the x one) is vertically opposite (opposite or "diagonal") with the 65°.

Vertically opposite angles have the same value, meaning the second angle is 65°.

In a triangle, the 3 angles add to 180. In this case, 50+65+x=180, which can be simplified to 115+x=180. Subtracting 115 from both sides gives x=65°.

For C3-

Imagine a parallel line is going through the angle x, splitting it into 2 angles (let's call them a and b).

With a being the top half, you can use the 133° given to help you. Like before, vertically opposite angles are the same, so the value "diagonal" to 133° should also be 133°. Using the co-interior rule, a should be 180-133, which gives 47°.

For b, we can skip this first step entirely. Since 143 and b are co-interior, 180-143=b, therefore b=37°.

To use these, remember a+b=x, which by subbing in the values gives 47+37=x, simplified to x=84°.

** I suggest revising the types of transversal relationships (corresponding, alternate, vertically opposite and co-interior). It's difficult explaining this without diagrams, but if you need more clarification, I'm happy to help!

The required time, when the meeting begins is given as 11:55 minutes.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
When the meeting end the time was 1:45,
Meeting last for 1 hour and 50 minutes.

Now,
1 hour and 50 minutes. = 01 : 50 minutes
Required time  = 12 : 00 + 1:45 - 01:50
                       = 12 :00 - 00:05
                       = 11 : 55 minutes

Thus, the time when the meeting begins is given as 11:55 minutes.

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The system of linear inequalities is represented by the graph is y < x – 2 and y > x + 1

The equation of a line is expressed as y = mx + b

For the blue line;

m = 1

Since the line cuts the line at y = 1, hence the y-intercept is 1

The required equation of the red line will be y > x + 1

For the red line;

m = 1

Since the line cuts the line at y = -2, hence the y-intercept is -2

The required equation of the red line will be y < x - 2

Hence the system of linear inequalities is represented by the graph is y < x – 2 and y > x + 1

Learn more on inequality graph here: https://brainly.com/question/9774970

Answer:

B Or y < x – 2 and y > x + 1

Step-by-step explanation:

y < x – 2 and y > x + 1

Answer:

The correct value is t* = 2.492.

Step-by-step explanation:

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 25 - 1 = 24

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.492, which is the answer to this question.

Answer:

IT'S NOT THE SAME BECAUSE THIS TWO TRIANGLE HAS DIFFERENT MEASUREMENT

Answer:

B

Step-by-step explanation:

it is b because I got it right on Edu and it was on quiz let

Step-by-step explanation:

-5x + 2(x -4 -2x) > 5 - 2x -2

-5x + 2x -8 -4x > 3 - 2x

-7x -8 > 3 - 2x

-5x > 11

x < 11:-5

x < -2.2

Answer:

x ≤ 3

Step-by-step explanation:

Answer:

a) 8x + - 4x + 2 + 2

d) 8x + 2 + - 4x - -2

Step-by-step explanation:

Solving for the above expression

8x + 2 – (4x — 2)

Step 1

Expand the brackets

8x + 2 - 4x + 2

Step 2

Collect like terms

8x - 4x + 2 + 2

Step 3

4x + 4

Therefore, the expressions that are

equivalent to 8x + 2 – (4x — 2)

a) 8x + - 4x + 2 + 2

d) 8x + 2 + - 4x - -2